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Finding the Third Proportional to 345,691.50 and 518,546.25

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Solution

The third proportional to 345,691.50 and 518,546.25 is: 777,832.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,691.50 : 518,546.25 = 518,546.25 : x
  2. Step 2: Convert to fraction form
    345,691.50/518,546.25 = 518,546.25/x
  3. Step 3: Cross multiply
    345,691.50x = 518,546.25 × 518,546.25
  4. Step 4: Simplify right side
    345,691.50x = 268,890,213,389.06
  5. Step 5: Solve for x
    x = 268,890,213,389.06/345,691.50
  6. Step 6: Final answer
    x = 777,832.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.